Pith Number

pith:CZ3Q7LS2

pith:2024:CZ3Q7LS2FAFLWV5BZYLD6BB7HD

not attested not anchored not stored refs pending

On the metric dimension of the character degree graph of a solvable group

C. Selvaraj, G. Sivanesan, Jacob Laubacher, Peter J. Cameron, T. Tamizh Chelvam

arxiv:2411.15794 v1 · 2024-11-24 · math.GR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZ3Q7LS2FAFLWV5BZYLD6BB7HD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T09:39:41.204038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16770fae5a280abb57a1ce163f043f38f049a109c64b0172201a2a012643d095

Aliases

arxiv: 2411.15794 · arxiv_version: 2411.15794v1 · doi: 10.48550/arxiv.2411.15794 · pith_short_12: CZ3Q7LS2FAFL · pith_short_16: CZ3Q7LS2FAFLWV5B · pith_short_8: CZ3Q7LS2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CZ3Q7LS2FAFLWV5BZYLD6BB7HD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 16770fae5a280abb57a1ce163f043f38f049a109c64b0172201a2a012643d095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1e10eb1a8438781ae875a8c2bf20da16f7c433bbba842610e40fe18b4eca177",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-11-24T11:44:58Z",
    "title_canon_sha256": "e1f51fb00ab87780d09fa962d9af40c567a2ce17cb0b8b7bcb89d1abeed50b86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15794",
    "kind": "arxiv",
    "version": 1
  }
}